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== "Guessing the Periodic Signal" == | == "Guessing the Periodic Signal" == | ||
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Supposing we are given a signal x(t) | Supposing we are given a signal x(t) | ||
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1) x(t) is real and odd | 1) x(t) is real and odd | ||
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2) x(t) is periodic with period T = 2 and has Fourier coefficients <math> ak </math> | 2) x(t) is periodic with period T = 2 and has Fourier coefficients <math> ak </math> | ||
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3) <math> ak = 0 </math> for |k| > 1 | 3) <math> ak = 0 </math> for |k| > 1 | ||
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4) <math> \frac{1}{2} * \int_{0}^{2} |x(t)|^2 dt = 1 </math> | 4) <math> \frac{1}{2} * \int_{0}^{2} |x(t)|^2 dt = 1 </math> | ||
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We are told to specify two different signals that satisfy the given conditions. | We are told to specify two different signals that satisfy the given conditions. | ||
Revision as of 16:22, 23 September 2008
"Guessing the Periodic Signal"
Supposing we are given a signal x(t)
1) x(t) is real and odd
2) x(t) is periodic with period T = 2 and has Fourier coefficients $ ak $
3) $ ak = 0 $ for |k| > 1
4) $ \frac{1}{2} * \int_{0}^{2} |x(t)|^2 dt = 1 $
We are told to specify two different signals that satisfy the given conditions.
